13310742295321 has 9 divisors (see below), whose sum is σ = 13325838181149. Its totient is φ = 13295663503584.

The previous prime is 13310742295247. The next prime is 13310742295327. The reversal of 13310742295321 is 12359224701331.

The square root of 13310742295321 is 3648389.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1455253782921 + 11855488512400 = 1206339^2 + 3443180^2 .

It is not a de Polignac number, because 13310742295321 - 2¹⁷ = 13310742164249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13310742295327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4658991325 + ... + 4658994181.

Almost surely, 2^{13310742295321} is an apocalyptic number.

13310742295321 is the 3648389-th square number.

13310742295321 is the 1824195-th centered octagonal number.

It is an amenable number.

13310742295321 is a deficient number, since it is larger than the sum of its proper divisors (15095885828).

13310742295321 is an frugal number, since it uses more digits than its factorization.

13310742295321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

Adding to 13310742295321 its reverse (12359224701331), we get a palindrome (25669966996652).

The spelling of 13310742295321 in words is "thirteen trillion, three hundred ten billion, seven hundred forty-two million, two hundred ninety-five thousand, three hundred twenty-one".